Pith Number

pith:CI5TS2OF

pith:2018:CI5TS2OF3IBLWWVGSU3ASXOALW

not attested not anchored not stored refs pending

Good recursive towers over prime fields exist

Alp Bassa, Christophe Ritzenthaler

arxiv:1807.05714 v1 · 2018-07-16 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CI5TS2OF3IBLWWVGSU3ASXOALW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:10:42.802790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

123b3969c5da02bb5aa69536095dc05dbfa00d0e9cbd7793d565038c3603a607

Aliases

arxiv: 1807.05714 · arxiv_version: 1807.05714v1 · doi: 10.48550/arxiv.1807.05714 · pith_short_12: CI5TS2OF3IBL · pith_short_16: CI5TS2OF3IBLWWVG · pith_short_8: CI5TS2OF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CI5TS2OF3IBLWWVGSU3ASXOALW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 123b3969c5da02bb5aa69536095dc05dbfa00d0e9cbd7793d565038c3603a607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c9e85bea86314f3dfddf5dc50429a358c2f7331e0c0f4b87fa0725163c1d53b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-07-16T08:07:16Z",
    "title_canon_sha256": "22089b87aa9520f41b5e3ea8caa965f7ec0bc940e31c9e9b77a70f9f3f97f698"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05714",
    "kind": "arxiv",
    "version": 1
  }
}